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Math-Physics Joint Seminar

Tuesday, February 13, 2018 - 4:30pm

Chiara Damiolini

Rutgers University

Location

University of Pennsylvania

DRL 4c2

Let $G$ be a simple and simply connected algebraic group over $\mathbb{C}$. We can attach to $G$ the sheaf of conformal blocks: a vector bundle on $M_{g,n}$ whose fibres are identified with global sections of a certain  line bundle on the stack of $G$-torsors. We generalize the construction of conformal blocks to the case in which $\mathcal{G}$ is a twisted group over a curve which can be defined in terms of covering data.In this case the associated conformal blocks define a sheaf on a Hurwitz space and have properties analogous to the classical case.